Unit 1: Basic Algebra Skills

Section
days
key concepts/ skills
book problems
additional resources
notes
1.1

  • Classify numbers as natural, whole, integer, rational, or real
  • Unit Analysis (conversion)
  • Algebraic Properties
pgs 6-9: 1-6, 11-16,25-38, 41-44

explore together: 23, 39-40

  • use UA practice WS
  • properties have been done every year
1.2

  • Order of operations
  • simplifying expressions
  • evaluate expressions
pgs 13-16: 4, 6-8, 10, 12-13, 15, 16-22, 25-33, 37-50

explore together:2, 3, 35, 53-55, 56-58, 61

  • no calculator
  • we will do exponents second semester, so usually only focus on squared or cubed at this point
1.3

  • solve linear equations
  • solve equations with fractions by multiplying to eliminate fractions
pgs 21-24: 3-40, 51-54, 68-69

explore together: 2, 41-42, 43-50, 63-66, 71, 74

  • decimal equations?
1.4

  • Rewriting formulas and equations
pgs 30-32:3-15, 33, 35

explore together: 2, 16-17


1.6

  • solving linear inequalities and graph solution on number line
pgs 44-47: 3-33, 37-48

explore together: 2, 34-35

Introduce interval notation?
1.7

  • solving absolute value equations


  • new addition for 2012-13

Unit 2: Graphing Linear Functions

Section
days
key concepts/skills
book problems
additional resources
notes
2.1

  • define a function
  • determine if a relation is a function given a table of values or graph
  • define domain and range
  • using interval notation, determine the domain and range of a relation given a table of value or a graph
  • use function notation to evaluate function, or determine values on a graph
pgs 76-79: 3-13, 16-23, 34-39

explore together: 14-15, 24

  • be sure to use the additional resources for this section
2.2

  • calculate slope
  • understand how slope changes a graph (rises, falls, horizontal, or vertical - how steep)
  • use slope to determine if two lines are parallel, perpendicular or neither
  • calculate rates of change
pgs 86-88: 3-14, 17-27, 29-31, 41, 45

explore together: 15-16


2.3

  • graph a line by finding its slope and y-intercept
  • graph a line by finding its x- and y-intercepts
pgs 93-96: 3-20, 23-48, 52, 53

explore together: 21-22


2.4

  • write the equation of a line given various pieces of information
pgs 101-104: 3-17, 20-46

explore together: 18-19




  • graph linear piecewise functions
  • evaluate piecewise functions


  • this is not in the text
2.6

  • use a graphing calculator to draw a scatter plot and calculate a line of best fit
pgs 117-120


Unit 3: Linear Modeling

Section
days
key concepts/skills
book problems
additional resources
notes


  • find an appropriate linear model and use it to find requested information


  • not in book

Unit 4: Systems of Equations and Matrices

Section
days
key concepts/skills
book problems
additional resources
notes
3.1

  • estimate the solution to a systems of linear equations by graphing
  • understand that the intersection is the solution because it makes both equations true



3.2

  • solve systems of equations algebraically using substitution or elimination



3.3

  • graph linear inequalities in two variables (2.8)
  • solve systems of linear inequalities



3.5

  • determine the dimensions of a matrix
  • add and subtract matrices and determine if not possible
  • perform scalar multiplication of matrices
  • perform a combination of those operations



3.6

  • multiply matrices and determine if not possible



3.8

  • find the determinant of a 2x2 matrix by hand (3.7)
  • find the inverse of a 2x2 matrix by hand





  • use a graphing calculator to perform matrix operations, including finding the determinant and inverse
  • use a graphing calculator to solve a system of equations in two or three variables using matrices



Unit 5: Linear Programming

Section
days
key concepts/skills
book problems
additional resources
notes


  • complete linear programming problems
    • write equations/inequalities representing the constraints and objective function
    • graph the constraints and find the vertices of the feasible region
    • evaluate objective function


  • not in book

Unit 6: Exponents

Section
Days
Key Concepts/Skills
book problems
additional resources
notes
5.1

  • evaluate certain exponents without the use of a calculator
  • simplify expressions with exponents
    • multiply like bases
    • divided like bases
    • power to a power
    • negative exponents
    • zero exponents



6.1

  • given a rational exponent using radicals, and other way around
  • evaluate rational exponents
  • solve equations involving exponents
    • raise to reciprocal power to isolate variable
    • use values we know to find missing exponent



6.2

  • simplify expressions with rational exponents using properties of exponent



Unit 7: Solving Quadratics

Section
Days
Key Concepts/Skills
book problems
additional resources
notes
4.3
4.4

  • review of multiplying binomials
  • factor quadratic expressions
    • gcf
    • trinomials where a=1 and a not =1
    • difference of two squares
  • solve quadratic equations by factoring



4.5

  • solve quadratic equations by taking the square root



4.8

  • solve quadratic equations using the quadratic formula



4.6

  • define i
  • add, subtract and multiply complex numbers



4.8
4.6

  • find the discriminant and use it to find the number and type of solutions for a quadratic equation
  • solve quadratic equations by taking the square root and using the quadratic formula where an imaginary solution is a possibility



Unit 8: Graphing Quadratic Functions

Section
Days
Key Concepts/Skills
book problems
additional resources
notes
4.2

  • graph quadratic functions given in vertex form finding
    • vertex
    • x- and y-intercepts
    • two additional points using the a value
  • graph quadratic functions given in intercept form finding
    • vertex
    • x- and y-intercepts
    • two additional points using the a value



4.3

  • graph quadratic functions given in standard form finding
    • vertex
    • x- and y-intercepts
    • two additional points





  • write equations from one form to another
  • write the equation of a parabola
    • in vertex form given the vertex and an additional point
    • in intercept form given the x-intercepts and an additional point



Unit 9: Quadratic Modeling

Section
Days
Key Concepts/Skills
book problems
additional resources
notes


  • use a graphing calculator to graph quadratic model and answer questions when
    • given the equation that models the situation
    • using the formula for projectile motion to find a model
    • given the points, use matrices to find a model


  • three points only if time
  • not in book

Unit 10: Polynomial Operations

Section
Days
Key Concepts/Skills
book problems
additional resources
notes
5.3

  • classify polynomials by degree and number of terms
  • add, subtract, and multiply polynomials



5.5

  • divide polynomials using
    • long division
    • synthetic division



5.4

  • factor polynomials
    • grouping
    • sum or difference of cubes
    • multi-step factoring